Question

A helium balloon ride lifts up passengers in a basket. Assume the density of air is 1.28 kg/m and the density of helium in the balloon is 0.18 kg/ml. The radius of the balloon (when filled) is R=4.9 m. The total mass of the empty balloon and basket is my - 121 kg and the total volume is Vb -0.071 m. Assume the average person that gets into the balloon has a mass mp-72 kg and volume V -0.076 m What is the volume of helium in the balloon when fully inflated? 4928 mm You currently have 2 submissions for this question. Only 10 submission are allowed You can make 8 more submissions for this question 1) What is the magnitude of the force of gravity on the entire system (but with no people)? Include the mass of the balloon, basket, and helium. N You currently have 3 submissions for this question. Only 10 submission are allowed You can make 7 more submissions for this question. What is the magnitude of the buoyant force on the entire system (but with no people)? Include the volume of the balloon, basket, and helium. NC You currently have submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question "What is the magnitude of the force of gravity on each person? N You currently have submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question "What is the magnitude of the buoyant force on each person? NE You currently have submissions for this question. Only 10 submission are allowed You can make 10 more submissions for this question. "How many FULL people can the balloon lift up? (Your answer must be an integer.) people Submit You currently have submissions for this question. Only 10 submission are allowed You can make 10 more submissions for this question

Answer 1

less than one focal length from the eyepiece

when object distance is less than focal length a virtual image is formed.

1) V_helium = (4/3)*pi*R^3

= (4/3)*pi*4.9^3

= 492.8 m^3

2) Fg = m_helium*g + mb*g

= rho_helium*V_helium*g + mb*g

= 0.18*492.8*9.8 + 121*9.8

= 2055 N

3) B = rho_air*(V_helium + Vb)*g

= 1.28*(492.8 + 0.071)*9.8

= 6183 N

4) The magnitude of the force of gravity on each person = mp*g

= 72*9.8

= 705.6 N

5) magnitude of buoynat force on each person = rho_air*Vp*g

= 1.28*0.076*9.8

= 0.953 N

6) the number of people that the ballon can lift,

N = (6183 - 2055)/(705.6 - 0.953)

= 5.86

= 5